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14214600625 = 541922512
BaseRepresentation
bin11010011110100000…
…11001011110110001
31100200122021112021211
431033100121132301
5213102414210000
610310300120121
71012152053221
oct151720313661
940618245254
1014214600625
116034853925
122908536041
131456c08ab4
1498bbba081
15582dc37ba
hex34f4197b1

14214600625 has 45 divisors (see below), whose sum is σ = 18821625933. Its totient is φ = 10730250000.

The previous prime is 14214600619. The next prime is 14214600629. The reversal of 14214600625 is 52600641241.

It is a happy number.

The square root of 14214600625 is 119225.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1114424689 + 13100175936 = 33383^2 + 114456^2 .

It is not a de Polignac number, because 14214600625 - 211 = 14214598577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14214600629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 56631750 + ... + 56632000.

Almost surely, 214214600625 is an apocalyptic number.

14214600625 is the 119225-th square number.

14214600625 is the 59613-rd centered octagonal number.

It is an amenable number.

14214600625 is a deficient number, since it is larger than the sum of its proper divisors (4607025308).

14214600625 is an frugal number, since it uses more digits than its factorization.

14214600625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 14214600625 in words is "fourteen billion, two hundred fourteen million, six hundred thousand, six hundred twenty-five".

Divisors: 1 5 19 25 95 125 251 361 475 625 1255 1805 2375 4769 6275 9025 11875 23845 31375 45125 63001 90611 119225 156875 225625 315005 453055 596125 1197019 1575025 2265275 2980625 5985095 7875125 11326375 22743361 29925475 39375625 56631875 113716805 149627375 568584025 748136875 2842920125 14214600625